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Number of n X 2 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
1

%I #6 Apr 05 2020 22:28:24

%S 2,4,13,46,160,571,2095,7802,29326,111040,422862,1617611,6210935,

%T 23922207,92387315,357629430,1387192894,5390374430,20979391112,

%U 81768490420,319107181678,1246785919174,4876478734046,19091509694075

%N Number of n X 2 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 2 of A284113.

%H R. H. Hardin, <a href="/A284107/b284107.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..1. .0..1. .0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..1

%e ..0..0. .1..0. .0..1. .1..1. .1..0. .1..1. .1..0. .1..1. .0..1. .0..1

%e ..1..1. .1..0. .1..0. .1..1. .1..1. .1..1. .1..0. .1..0. .1..1. .1..0

%e ..1..1. .0..1. .1..0. .1..1. .1..1. .0..0. .1..0. .0..0. .0..1. .0..1

%Y Cf. A284113.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2017